We look at the division of 581360 by 91 
Our goal is to divide 581360 by 91.

On to step 1:
When dividing 5 by 91, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 91

Let's proceed to step 2:
The number 91 fits into 58 0 times, leaving a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Grab the next digit (1) from the dividend, add it to 58, then carry on: 581 / 91

On to step 3:
If we divide 581 by 91, we get 6 and a remainder of 35.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 546 from 581 to get 35.
Grab the next digit (3) from the dividend, add it to 35, then carry on: 353 / 91

Let's proceed to step 4:
The number 91 fits into 353 3 times, leaving a remainder of 80.
Write down 3 as next digit of the result. 
Result so far: 63.0
If we take 273 away from 353, we end up with 80.
Fetch the next digit (6) from the dividend, attach it to 80 and continue: 806 / 91

Going ahead to step 5:
If we divide 806 by 91, we get 8 and a remainder of 78.
Record the quotient 8 as the next digit in the result. 
Result so far: 638.0
Deduct 728 from 806 and we're left with 78.
Fetch the next digit (0) from the dividend, attach it to 78 and continue: 780 / 91

Going ahead to step 6:
The number 91 fits into 780 8 times, leaving a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 6388.0
If we subtract 728 from 780, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 7:
The number 91 fits into 520 5 times, leaving a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 6388.5
The remainder is 65 after subtracting 455 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 8:
If we divide 650 by 91, we get 7 and a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 6388.57
The remainder is 13 after subtracting 637 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 9:
When dividing 130 by 91, we get 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 6388.571
If we subtract 91 from 130, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 10:
When dividing 390 by 91, we get 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 6388.5714
If we subtract 364 from 390, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 11:
If we divide 260 by 91, we get 2 and a remainder of 78.
Write down 2 as next digit of the result. 
Result so far: 6388.57142
Subtract 182 from 260 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 12:
91 can be fit into 780 8 times, resulting in a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 6388.571428
If we subtract 728 from 780, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 13:
When dividing 520 by 91, we get 5 with a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 6388.5714285
If we subtract 455 from 520, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 14:
When dividing 650 by 91, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 6388.57142857
Subtract 637 from 650 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 6388.57142857 with a balance of 1.3e-08.